Finding the Third Proportional to 49,038 and 75,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,038 : 75,136.50 = 75,136.50 : x
2. Step 2: Convert to fraction form
   49,038/75,136.50 = 75,136.50/x
3. Step 3: Cross multiply
   49,038x = 75,136.50 × 75,136.50
4. Step 4: Simplify right side
   49,038x = 5,645,493,632.25
5. Step 5: Solve for x
   x = 5,645,493,632.25/49,038
6. Step 6: Final answer
   x = 115,124.88